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4001201320 = 235179558827
BaseRepresentation
bin1110111001111101…
…0111110010101000
3101022211222002100111
43232133113302220
531143301420240
61501011344104
7201103435654
oct35637276250
911284862314
104001201320
111773634856
12937bb2034
134b9c5245c
1429d587a64
151864111ea
hexee7d7ca8

4001201320 has 32 divisors (see below), whose sum is σ = 9053013600. Its totient is φ = 1591536448.

The previous prime is 4001201297. The next prime is 4001201327. The reversal of 4001201320 is 231021004.

It is a super-2 number, since 2×40012013202 = 32019224006339484800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001201320.

It is not an unprimeable number, because it can be changed into a prime (4001201327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272254 + ... + 286573.

It is an arithmetic number, because the mean of its divisors is an integer number (282906675).

Almost surely, 24001201320 is an apocalyptic number.

4001201320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001201320 is an abundant number, since it is smaller than the sum of its proper divisors (5051812280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4001201320 is a wasteful number, since it uses less digits than its factorization.

4001201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559017 (or 559013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4001201320 is about 63255.0497588928. The cubic root of 4001201320 is about 1587.5599507812.

Adding to 4001201320 its reverse (231021004), we get a palindrome (4232222324).

The spelling of 4001201320 in words is "four billion, one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 558827 1117654 2235308 2794135 4470616 5588270 11176540 22353080 100030033 200060066 400120132 500150165 800240264 1000300330 2000600660 4001201320